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Abstract
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We prove the uniqueness of the inclusion of the long root geometries of type
and
as full embeddings
in the one of type
;
the latter always arises as an equator geometry, the former as an intersection of two
appropriate such equator geometries. Along the way, several other embedding results
are obtained, notably featuring the subsequent point residuals of the above
geometries.
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Keywords
long root geometries, exceptional Tits buildings
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Mathematical Subject Classification
Primary: 51E24
Secondary: 51B25
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Milestones
Received: 9 August 2022
Revised: 8 November 2022
Accepted: 4 December 2022
Published: 13 September 2023
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